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Finding the Fourth Proportional to 513,893.61, 770,648.89 and 176,840.01

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Solution

The fourth proportional to 513,893.61, 770,648.89 and 176,840.01 is: 265,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,893.61 : 770,648.89 = 176,840.01 : x
  2. Step 2: Convert to fraction form
    513,893.61/770,648.89 = 176,840.01/x
  3. Step 3: Cross multiply
    513,893.61x = 770,648.89 × 176,840.01
  4. Step 4: Simplify right side
    513,893.61x = 136,281,557,414.09
  5. Step 5: Solve for x
    x = 136,281,557,414.09/513,893.61
  6. Step 6: Final answer
    x = 265,194.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.